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GCD of 834, 269, 764, 420 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 834, 269, 764, 420 quickly. Get the easiest ways to solve the greatest common divisor of 834, 269, 764, 420 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 834, 269, 764, 420 with Factoring?

Given Input numbers are 834, 269, 764, 420

In the factoring method, we have to find the divisors of all numbers

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420


GCD of numbers is the greatest common divisor

So, the GCD (834, 269, 764, 420) = 1.

Find GCD of 834, 269, 764, 420 using Prime Factorization

Given numbers are 834, 269, 764, 420

The list of prime factors of all numbers are

Prime factors of 834 are 2 x 3 x 139

Prime factors of 269 are 269

Prime factors of 764 are 2 x 2 x 191

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 834, 269, 764, 420 using LCM Formula

Given numbers are 834, 269, 764, 420

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(834, 269) = 224346

GCD(834, 269) = ( 834 x 269 ) / 224346

= 834 / 269

= 834


Step2:

LCM(1, 764) = 764

GCD(1, 764) = ( 1 x 764 ) / 764

= 1 / 764

= 1


Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1


So, Greatest Common Divisor of 834, 269, 764, 420 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 834, 269, 764, 420

Given numbers are 834, 269, 764, 420
The greatest common divisor of numbers 834, 269, 764, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 834, 269, 764, 420 is 1.

FAQs on GCD of 834, 269, 764, 420 Calculator

1. What is the GCD of 834, 269, 764, 420?

GCD of given numbers 834, 269, 764, 420 is 1


2. How to calculate the greatest common divisor of 834, 269, 764, 420?

We can find the highest common divisor of 834, 269, 764, 420 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 834, 269, 764, 420 i.e 1.


3. How can I use the GCD of 834, 269, 764, 420Calculator?

Out the numbers 834, 269, 764, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.